16 citations · 18 across the 2 of their papers we have counts for
3 papers · 1 filter
The Herglotz principle and vakonomic dynamics
Manuel de León, Manuel Lainz, Miguel C. Muñoz-Lecanda
In this paper we study vakonomic dynamics on contact systems with nonlinear constraints. In order to obtain the dynamics, we consider a space of admisible paths, which are the ones…
A review on contact Hamiltonian and Lagrangian systems
Manuel de León, Manuel Lainz
Contact Hamiltonian dynamics is a subject that has still a short history, but with relevant applications in many areas: thermodynamics, cosmology, control theory, and neurogeometry…
Plasma in monopole background is not twisted Poisson
Manuel Lainz, Cristina Sardon, Alan Weinstein
For a particle in the magnetic field of a cloud of monopoles, the naturally associated 2-form on phase space is not closed, and so the corresponding bracket operation on functions…